Novel delay-dependent stability criteria for switched Hopfield neural networks of neutral type

2015 ◽  
Vol 158 ◽  
pp. 117-126 ◽  
Author(s):  
Cheng-De Zheng ◽  
Yun Gu ◽  
Wenlong Liang ◽  
Zhanshan Wang
Keyword(s):  
Neural Networks ◽  
Neutral Type ◽  
Hopfield Neural Networks ◽  
Stability Criteria ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-18 ◽  
Author(s):  
Kaibo Shi ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Yong Zeng ◽  
Yuping Zhang ◽  
...  
Keyword(s):  
Neural Networks ◽  
Convex Combination ◽  
Neutral Type ◽  
Jensen Inequality ◽  
Linear Matrix ◽  
Time Varying ◽  
Stability Criteria ◽  
New Type ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper investigates the problem of dependent stability criteria for neutral type neural networks with mixed time-varying delays. Firstly, some new delay-dependent stability results are obtained by employing the more general partitioning approach and generalizing the famous Jensen inequality. Secondly, based on a new type of Lyapunov-Krasovskii functional with the cross terms of variables, less conservative stability criteria are proposed in terms of linear matrix inequalities (LMIs). Furthermore, it is the first time that the idea of second-order convex combination and the property of quadratic convex function applied to the derivation of neutral type neural networks play an important role in reducing the conservatism of the paper. Finally, four numerical examples are given to show the effectiveness and the advantage of the proposed method.

New delay-dependent stability criteria for neutral-type neural networks with mixed random time-varying delays

2015 ◽  
Vol 168 ◽  
pp. 896-907 ◽  
Author(s):  
Kaibo Shi ◽  
Shouming Zhong ◽  
Hong Zhu ◽  
Xinzhi Liu ◽  
Yong Zeng
Keyword(s):  
Neural Networks ◽  
Neutral Type ◽  
Random Time ◽  
Time Varying ◽  
Stability Criteria ◽  
Delay Dependent ◽  
Delay Dependent Stability

Delay-dependent stability criterion for delayed Hopfield neural networks

2009 ◽  
Vol 39 (5) ◽  
pp. 2133-2137 ◽  
Author(s):  
Yanhong Jiang ◽  
Bin Yang ◽  
Jincheng Wang ◽  
Cheng Shao
Keyword(s):  
Neural Networks ◽  
Stability Criterion ◽  
Hopfield Neural Networks ◽  
Delay Dependent ◽  
Delay Dependent Stability
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